Persistent State Method for Resonances on Classical and Quantum Computers

arXiv:2609.25164 · nucl-th, hep-lat, quant-ph · Submitted 2026-09-21 · Read on arXiv

nucl-th, hep-lat, quant-ph

Submitted: 2026-09-21

Updated: 2026-09-21

Terminology

• Benchmark — 14× in this paper · explained in 2 episodes
• Accuracy — 8× in this paper · explained in 1 episode
• Quantization — 2× in this paper · explained in 12 episodes
• Unitary Dynamics — 2× in this paper · explained in 2 episodes
• Benchmarking — 1× in this paper · explained in 4 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• Loss Function — 1× in this paper · explained in 2 episodes
• Momentum transfer — 1× in this paper · explained in 2 episodes

Sources

• Time-dependent relaxation of observables in complex quantum systems
• Fermion Pair Dynamics in Open Quantum Systems
• Probing the Non-exponential Decay Regime in Open Quantum Systems
• Resonance properties from the finite-volume energy spectrum
• Multiple-channel generalization of Lellouch-Luscher formula
• A relativistic, model-independent, three-particle quantization condition
• Two-particle multichannel systems in a finite volume with arbitrary spin
• Relating the finite-volume spectrum and the two-and-three-particle $S$ matrix for relativistic systems of identical scalar particles
• Few-body bound states and resonances in finite volume
• Multi-particle systems on the lattice and chiral extrapolations: a brief review
• Shell Model in the Complex Energy Plane
• Eigenvector continuation for emulating and extrapolating two-body resonances
• Complex scaling in finite volume
• Towards scalable bound-to-resonance extrapolations for few- and many-body systems
• Non-Hermitian quantum mechanics approach for extracting and emulating continuum physics based on bound-state-like calculations: Detailed description
• Non-Hermitian Quantum Mechanics Approach for Extracting and Emulating Continuum Physics Based on Bound-State-Like Calculations
• Extracting Resonance Width from Lattice Quantum Monte Carlo Simulations Using Analytical Continuation Method
• Wavefunction matching for solving quantum many-body problems
• Rodeo Algorithm for Quantum Computing

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